A firm has a generous but rather complicated policy concerning end-of-year bonuses for its lower-level managerial personnel. The policy'skey factor is a subjective judgment of contribution to corporate goals. A personnel officer took samples of 24 female and 36 male managers to see whether there was any difference in bonuses, expressed as a percentage of yearly salary. The firm would like to determine if their system is fair or if it leads to a gender bias. The data are listed here:

Male	Female
9.2	6.2
9.8	9.2
10	7.4
9.2	9.1
12	9
7.9	9.3
9	8.4
9.6	11.9
11.9	8.4
9.4	9.1
8.9	6.9
9	9.9
9.7	8.4
8.8	6.7
9	7.6
10.4	8.7
8.9	7.7
9.1	7.7
9.9	9
9	9
10.1	9.6
9.7	8.4
9.4	8
8.7	9.2
11.7
8.9
9.6
9.9
12
9.3
9.7
9.2
8.7
10.4
9.2
11.4

a) perform a relevant parametric test.

b) state the assumptions for the test in part a) and verify whether or not these assumptions are satisfied.

c) perform a relevant nonparametric test to see if there is a difference in the bonus.

d) produce side by side boxplots of the bonuses for males and females. Comment on the plot and relate it to your above results.

e) construct 95% confidence interval for the population mean and median score for each class.

Please do this in SAS and include the code. The significance level is 0.05.